53 citations · 579 across the 48 of their papers we have counts for
6 papers · 1 filter
Turning big bang into big bounce: II. Quantum dynamics
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We analyze the big bounce transition of the quantum FRW model in the setting of the nonstandard loop quantum cosmology (LQC). Elementary observables are used to quantize composite…
Foamy structure of spacetime
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We examine spectrum of the physical volume operator within the non-standard loop quantum cosmology. The spectrum is discrete with equally distant levels defining a quantum of the v…
Turning Big Bang into Big Bounce: I. Classical Dynamics
Piotr Dzierzak, Przemyslaw Malkiewicz, Wlodzimierz Piechocki
The big bounce (BB) transition within a flat Friedmann-Robertson-Walker model is analyzed in the setting of loop geometry underlying the loop cosmology. We solve the constraint of…
Dirac quantization of membrane in time dependent orbifold
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We present quantum theory of a membrane propagating in the vicinity of a time dependent orbifold singularity. The dynamics of a membrane, with the parameters space topology of a to…
Energy Scale of the Big Bounce
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We examine the nature of the cosmological Big Bounce transition within the loop geometry underlying loop quantum cosmology at classical and quantum levels. Our canonical quantizati…
Classical membrane in a time dependent orbifold
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We analyze classical theory of a membrane propagating in a singular background spacetime. The algebra of the first-class constraints of the system defines the membrane dynamics. A…